There are other ways to make money

There are many other ways in which originators of media can make
money even if they allow free distribution. First of all, they can
regulate the commercial use of the works. That way, commercial
entities (such as Music stores, online music download services,
D.J.'s in charge-for-entrance parties and commercial radio
stations) must pay them royalties.

Another financial option is to restrict derivation of
the work. That way, persons who wish to build upon the work
or include substantial parts of it in their own must consult the
originator.

Another option (of less substance) is to require attribution for
the originator. That way, people who wish to build upon a work
without crediting the originator must purchase permission from
him.

These three methods together give enough options for an artist
to make money off his art, without restricting non-commercial
copying.

This is naturally excluding live performances of artists of
various sorts, like Rock concerts, that are also a huge potential
source of revenue.